PSSA Grade 7 Expressions and Equations. Practice it free.

Measures algebraic expressions, equations, inequalities, and proportional reasoning connections. This Grade 7 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grade 7M.7.33 mapped skills
What the test measures

Expressions and Equations skills

  1. Use properties of operations to generate equivalent expressions

  2. Solve real-life and mathematical problems using numerical and algebraic expressions and equations

  3. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients

  4. Solve multistep real-life and mathematical problems posed with positive and negative rational numbers in any form

  5. Solve equations of the form px + q = r and p(x + q) = r, fluently using inverse operations

Standards basis

Pennsylvania Academic Standards for Mathematics / Pennsylvania Assessment Anchors and Eligible Content — Pennsylvania

How the PSSA reports it

PSSA is Pennsylvania’s own standards-based, criterion-referenced assessment. Its math reporting structure is built on the Pennsylvania Academic Standards/Assessment Anchors and Eligible Content rather than a separate multi-state framework, and it closely mirrors CCSS-style grade-level domains.

Blueprint & weighting

The official PSSA page lists the Mathematics Test Design and grade-level item/scoring samplers, but the accessible source excerpt did not expose a usable per-domain percentage blueprint; no reliable item-weight table was recoverable from the available primary page text.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Solve for kk: 9k=279k = -27.

Isolate kk: k=3k = -3.

Practice playmedium

At the start of the season, a soccer club roster was divided into three position groups. Exactly 13\dfrac{1}{3} of the players were forwards, exactly 12\dfrac{1}{2} were midfielders, and 99 players were goalkeepers. How many players were on the roster?

Let xx be the roster size. Forwards and midfielders account for 13x+12x=56x\dfrac{1}{3}x + \dfrac{1}{2}x = \dfrac{5}{6}x. The goalkeepers are the remaining 16x=9\dfrac{1}{6}x = 9, so x=54x = 54.

Practice playeasy

A library reading room must keep noise at a level of at most 65.065.0 decibels. A meter shows 68.568.5 decibels. What is the minimum decrease needed in the noise level, in decibels, so that the room meets the rule?

The noise level must be at most 65.065.0 decibels. The minimum decrease is 68.565.0=3.5.68.5 - 65.0 = 3.5\textsf{.}

Practice playeasy

What value of nn satisfies 5n8=175n - 8 = 17?

Add 88 to both sides: 5n=255n = 25. Divide both sides by 55: n=5n = 5.

Practice playmedium

An arena concert used four seating sections. Exactly 16\dfrac{1}{6} of the seats were in section A, exactly 13\dfrac{1}{3} were in section B, 2222 seats were in section C, and 1818 seats were in section D. How many seats were in the arena for this concert?

Let xx be the total number of seats. Sections A and B account for 16x+13x=12x\dfrac{1}{6}x + \dfrac{1}{3}x = \dfrac{1}{2}x. Sections C and D total 22+18=4022 + 18 = 40 seats, so 12x=40\dfrac{1}{2}x = 40 and x=80x = 80.

Practice playeasy

In a school zone, a car must travel at a speed of at most 35.035.0 miles per hour. A car is traveling at 38.238.2 miles per hour. What is the minimum decrease needed in the car's speed, in miles per hour, so that it meets the speed limit?

The speed must be at most 35.035.0 miles per hour. The minimum decrease is 38.235.0=3.2.38.2 - 35.0 = 3.2\textsf{.}

Practice playeasy

Solve for xx: 6x1=176x - 1 = 17.

Subtract 1-1 from both sides: 6x=186x = 18. Divide by 66: x=3x = 3.

Practice playmedium

A botanical garden is divided into four planted areas. Exactly 14\dfrac{1}{4} of the garden is vegetables, exactly 15\dfrac{1}{5} is flowers, 4848 square meters are herbs, and 4040 square meters are fruit trees. How many square meters are in the entire garden?

Let xx be the total area. Vegetables and flowers cover 14x+15x=920x\dfrac{1}{4}x + \dfrac{1}{5}x = \dfrac{9}{20}x. The herbs and fruit trees cover 48+40=8848 + 40 = 88 square meters, so 1120x=88\dfrac{11}{20}x = 88 and x=160x = 160.

Keep practicing

Turn expressions and equations into game time.

The PSSA placement starts with this test's real coverage map and finds the right difficulty.